Abstract
In this article isomorphisms between systems of singularities equivariant under different Lie group actions are investigated and a sufficient condition for two systems to be isomorphic is given. With this sufficiency theorem we show that the system ofO(n)-equivariant singularities in its irreducible representation on Rnis isomorphic to that of one-dimensional Z2-equivariant singularities and the system of[formula]-dimensionalO(n)-equivariant singularities is isomorphic to that ofn-dimensionalSn-equivariant singularities.
Original language | English |
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Pages (from-to) | 26-45 |
Number of pages | 20 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 225 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Sept 1998 |
Externally published | Yes |